That's a nice 102! I think somebody stuck the wrong decals on the hood, that's all. As for the trans, the primer/undercoat used on the transmissions is red. It was also used on the inside of the transmission.
As for the ignition, only the Original, 70, and 100 had a key ignition switch and separate push button to start. Seems that the 71, 102, 122 and 123 have a 2-position key switch that works in the way you describe it. All tractors after that have a 3-position key switch.
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'70 107 with k301 engine swap
'71 106 with 38" deck
'70 147
R with factory replacement k321, 42" deck
'61 Original with 38" timed deck
'63 70 "pinkie"
1863 with 54" deck
'46 Farmall H, '50 Farmall Cub
105 x2 (parts)